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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Definite integrals: evaluation
15
Trigonometric simplification and special forms
15
Integration by substitution
13
Integration by parts and special formulas
11
Properties of definite integrals
10
Partial fractions and rational integrals
3
Basic indefinite integrals
1
Level
Easy
13
Moderate
15
Tough
0
Year
2026
2
2025
5
2024
3
2023
2
2021
2
2019
0
2018
0
2017
1
2016
1
2015
0
15 of 212 ·
show all
Q21
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2021 Set J
2021 Set I
$\int \frac{\cos 2x}{(\sin x + \cos x)^2}\,dx =$
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Q25
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
Integrate : $\int \sec^4 x\,dx$.
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Q39
2025
$\int \dfrac{dx}{\sin^2 x \cos^2 x} =$
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Q65
2025
Integrate: $\int \frac{\sin^6 x+\cos^6 x}{\sin^2 x\cos^2 x}\,dx$
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Q76
2025 Set A
2025 Set E
$\int \frac{\cos 2x}{\cos x+\sin x}\,dx =$
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Q80
2025 Set A
$\int (\sin 3x+4\sin^3 x)\,dx =$
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Q99
2025 Set E
$\int (\sin 3x + 4\sin^{3}x)\,dx =$
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Q114
2024 Set D
$\int\frac{\cos2x}{\cos^2x\cdot\sin^2x}dx=$
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Q118
2024 Set D
2024 Set J
$\int \sqrt{1-\sin 2x}\, dx =$
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Q130
2024 Set J
$\int \frac{\cos 2x}{\cos^2 x\cdot\sin^2 x}\,dx=$
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Q134
2023
$\int (\cos\theta \, \text{cosec}^2\theta - \cos\theta \, \cot^2\theta) \, d\theta =$
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Q163
2023 Set E
$\int(\cos\theta\operatorname{cosec}^2\theta-\cos\theta\cot^2\theta)\,d\theta=$
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Q172
2021 Set J
2021 Set I
$\int \dfrac{\sec x}{\sec x+\tan x}\,dx =$
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Q199
2017
Integrate $\int \sin^2 x \cdot \cos^2 x \, dx$
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Q204
2016
$\int\frac{dx}{1-\sin x}=$
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